document.write( "Question 1204469: 3. Suppose that a school district wants to start a program for gifted students. The participants in the program are to be chosen on the basis of IQ scores (normal with  = 100,  = 15). If the school district wants only the top 2.5% of students to participate in the program, what should be the IQ score that students must exceed to be accepted?
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Algebra.Com's Answer #840746 by ikleyn(52847) $\"\"$ $\"About$

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\n" ); document.write( "Suppose that a school district wants to start a program for gifted students.
\n" ); document.write( "The participants in the program are to be chosen on the basis of IQ scores (normal with mean = 100, SD = 15).
\n" ); document.write( "If the school district wants only the top 2.5% of students to participate in the program,
\n" ); document.write( "what should be the IQ score that students must exceed to be accepted?
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document.write( "They want you find a score z on the IQ number axis in such a way that the area\r\n" );
document.write( "under the specialized normal curve to the right of this z-score be 2.5%, or 0.025.\r\n" );
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document.write( "For it, use the standard function invNorm of your regular calculator TI-83/84.\r\n" );
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document.write( "It has this form\r\n" );
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document.write( "                area   mean SD   <<<---===  formatting pattern\r\n" );
document.write( "    z = invNorm(0.975, 100, 15)\r\n" );
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document.write( "0.975 here is 1-0.025, the area on the left of z-score.\r\n" );
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document.write( "The function invNorm gives the answer  z = 129.399.\r\n" );
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document.write( "The school district should accept the students whose IQ score is 129.399 or above.\r\n" );
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document.write( "If they want the answer in integer numbers and do not want yield the level of students, \r\n" );
document.write( "then they should round to greater integer IQ >= 130.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Alternatively, instead of regular calculator TI-83/84, you can use an online
\n" ); document.write( "free of charge calculator of this web-page https://davidmlane.com/hyperstat/z_table.html\r
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